Chapter 8 of 14
Chapter 8: Mapping Your Way
नक्शा (इंडिया गेट, राजपथ, सेंट्रल हेक्सागन एवं नक्शे का पैमाना) | CBSE Session 2026–27
Core Pedagogical Competencies & Concepts
- Reading and interpreting scaled architectural maps and ground plans.
- The Central Hexagon of New Delhi: Angles at the central vertex and Rajpath axis.
- Map Scale Ratios: e.g., 1 cm = 1 km or 1 cm = 2 km.
- Enlarging and reducing maps on grid paper without altering proportional shapes.
- Given Scale: $1\text{ cm} = 200\text{ km}$.
All Textbook Exercises & In-Text Tasks (24 Questions)
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Q1
Textbook Exercise • Map Scale & Real Distance
On a map of India, the scale is given as: '1 cm on the map = 200 km on the ground'. (a) If the distance between Delhi and Jaipur on the map is 1.3 cm, what is the actual distance on the ground? (b) If the actual distance between Delhi and Bhopal is 600 km, what will be the distance between them on the map?
[3 Marks]
✅ Step-by-Step Solution & Working
Map Scale Calculations (Scale: 1 cm = 200 km):
• (a) Delhi to Jaipur: Distance = 1.3 cm × 200 km/cm = 260 km.
• (b) Delhi to Bhopal on map: Map distance = 600 km ÷ 200 km/cm = 3 cm.
• (a) Delhi to Jaipur: Distance = 1.3 cm × 200 km/cm = 260 km.
• (b) Delhi to Bhopal on map: Map distance = 600 km ÷ 200 km/cm = 3 cm.
CBSE Step-by-Step Marking Scheme
Part (a): 260 km
1.5 M
Part (b): 3 cm
1.5 M
Q2
Textbook Exercise • Rajpath & Angles Between Roads
Look at the map of Central Vista in New Delhi: (a) What type of angle is formed where Janpath crosses Rajpath? (b) Man Singh Road and Ashoka Road meet away from India Gate. What kind of angle is formed between them? (c) Name two roads that meet at an acute angle.
[3 Marks]
✅ Step-by-Step Solution & Working
Road Junction Angles:
• (a) Janpath and Rajpath: They intersect perpendicularly, forming a Right Angle (90°).
• (b) Man Singh Road and Ashoka Road: The road junction forms an Obtuse Angle (greater than 90°).
• (c) Acute angle intersection: Man Singh Road and Shahjahan Road (or Akbar Road and Tilak Marg near the C-Hexagon) meet at an Acute Angle (less than 90°).
• (a) Janpath and Rajpath: They intersect perpendicularly, forming a Right Angle (90°).
• (b) Man Singh Road and Ashoka Road: The road junction forms an Obtuse Angle (greater than 90°).
• (c) Acute angle intersection: Man Singh Road and Shahjahan Road (or Akbar Road and Tilak Marg near the C-Hexagon) meet at an Acute Angle (less than 90°).
CBSE Step-by-Step Marking Scheme
Part (a): Right angle
1 M
Part (b): Obtuse angle
1 M
Part (c): Acute angle junction named
1 M
Q3
Textbook Exercise • India Gate Hexagon
The area around India Gate is shaped like a giant hexagon (the Central Hexagon). (a) How many sides and how many vertices does a hexagon have? (b) If you walk once completely around a regular hexagon park with each side measuring 150 metres, what total distance do you cover?
[3 Marks]
✅ Step-by-Step Solution & Working
Hexagon Properties & Perimeter:
• (a) Properties: A hexagon has 6 sides and 6 vertices.
• (b) Total distance (Perimeter): 6 sides × 150 metres = 900 metres.
• (a) Properties: A hexagon has 6 sides and 6 vertices.
• (b) Total distance (Perimeter): 6 sides × 150 metres = 900 metres.
CBSE Step-by-Step Marking Scheme
6 sides and 6 vertices
1.5 M
Perimeter: 900 metres
1.5 M
Q4
Textbook Exercise • Enlarging & Reducing on Grids
A small drawing of a leaf is drawn on a 1/2 cm square grid. It is then redrawn on a 1 cm square grid. (a) By how many times does the side length of the grid squares increase? (b) What happens to the total area of the enlarged drawing?
[3 Marks]
✅ Step-by-Step Solution & Working
Grid Scaling Principles:
• (a) Side length scaling: 1 cm ÷ 0.5 cm = 2 times larger.
• (b) Area scaling: When each linear side is multiplied by 2, the area becomes 2 × 2 = 4 times larger.
• (a) Side length scaling: 1 cm ÷ 0.5 cm = 2 times larger.
• (b) Area scaling: When each linear side is multiplied by 2, the area becomes 2 × 2 = 4 times larger.
CBSE Step-by-Step Marking Scheme
Side length: 2 times
1.5 M
Area: 4 times larger
1.5 M
Q5
Textbook Exercise • Republic Day Parade Route
The Republic Day Parade starts from Rashtrapati Bhavan, moves along Rajpath to India Gate, then turns onto Tilak Marg, Bahadur Shah Zafar Marg, Subhash Marg, and finally reaches Red Fort. (a) If the parade route on the map measures 16 cm and the map scale is 2 cm = 1 km, what is the total distance of the parade on the ground? (b) If the parade moves at an average speed of 4 km/h, how much time does it take?
[3 Marks]
✅ Step-by-Step Solution & Working
Parade Route Calculations (Scale: 2 cm = 1 km → 1 cm = 0.5 km):
• (a) Ground distance: 16 cm ÷ 2 cm/km = 8 km.
• (b) Time taken: Time = Distance ÷ Speed = 8 km ÷ 4 km/h = 2 hours.
• (a) Ground distance: 16 cm ÷ 2 cm/km = 8 km.
• (b) Time taken: Time = Distance ÷ Speed = 8 km ÷ 4 km/h = 2 hours.
CBSE Step-by-Step Marking Scheme
Ground distance: 8 km
1.5 M
Time taken: 2 hours
1.5 M
Q6
Textbook Exercise • Cardinal Directions on a Map
(a) What direction is usually at the top of a standard map? (b) If you are walking towards the East and take a 90° right turn, which direction are you now facing? (c) Name two Indian states located along the western coast.
[3 Marks]
✅ Step-by-Step Solution & Working
Direction Principles:
• (a) Top of map: North.
• (b) Right turn from East: Turning 90° clockwise from East points towards South.
• (c) Western coastal states: Gujarat and Maharashtra (also Goa, Karnataka, Kerala).
• (a) Top of map: North.
• (b) Right turn from East: Turning 90° clockwise from East points towards South.
• (c) Western coastal states: Gujarat and Maharashtra (also Goa, Karnataka, Kerala).
CBSE Step-by-Step Marking Scheme
Part (a): North
1 M
Part (b): South
1 M
Part (c): Two western states named
1 M
Q7
Textbook Exercise • Comparing Map Scales
Map 1 has a scale of 1 cm = 10 metres. Map 2 has a scale of 1 cm = 1 kilometre. (a) Which map shows more minute details of buildings and pathways? (b) Which map is used to show a whole state or country?
[2 Marks]
✅ Step-by-Step Solution & Working
Scale Comparison:
• (a) Detailed map: Map 1 (large-scale map where 1 cm represents only 10 m, showing fine features like school grounds or building plans).
• (b) Regional/country map: Map 2 (small-scale map where 1 cm represents 1 km or more).
• (a) Detailed map: Map 1 (large-scale map where 1 cm represents only 10 m, showing fine features like school grounds or building plans).
• (b) Regional/country map: Map 2 (small-scale map where 1 cm represents 1 km or more).
CBSE Step-by-Step Marking Scheme
Part (a): Map 1 with explanation
1 M
Part (b): Map 2 with explanation
1 M
Q8
Textbook Exercise • State Borders on India Map
Looking at the political map of India: (a) If you travel straight from Haryana to Tamil Nadu, in which direction are you travelling? (b) Name three states that share a border with Madhya Pradesh.
[3 Marks]
✅ Step-by-Step Solution & Working
Geography & Directions:
• (a) Direction: Travelling from Haryana (North) to Tamil Nadu (South) is travelling towards the South.
• (b) States bordering MP: Rajasthan, Uttar Pradesh, and Chhattisgarh (also Maharashtra, Gujarat).
• (a) Direction: Travelling from Haryana (North) to Tamil Nadu (South) is travelling towards the South.
• (b) States bordering MP: Rajasthan, Uttar Pradesh, and Chhattisgarh (also Maharashtra, Gujarat).
CBSE Step-by-Step Marking Scheme
South direction
1.5 M
Three bordering states
1.5 M
Q9
Textbook Exercise • School Assembly Ground Map
On a school plan map, 1 cm represents 5 metres. The assembly ground is drawn as a rectangle measuring 6 cm by 4 cm. (a) What are the actual ground dimensions in metres? (b) What is the actual area of the assembly ground in square metres?
[3 Marks]
✅ Step-by-Step Solution & Working
Ground Dimensions & Area:
• (a) Actual dimensions:
- Length = 6 cm × 5 m/cm = 30 metres.
- Width = 4 cm × 5 m/cm = 20 metres.
• (b) Actual area: 30 m × 20 m = 600 sq metres.
• (a) Actual dimensions:
- Length = 6 cm × 5 m/cm = 30 metres.
- Width = 4 cm × 5 m/cm = 20 metres.
• (b) Actual area: 30 m × 20 m = 600 sq metres.
CBSE Step-by-Step Marking Scheme
Dimensions: 30 m × 20 m
1.5 M
Actual area: 600 sq m
1.5 M
Q10
Textbook Exercise • Red Fort Tour Route
At the Red Fort: Diwan-i-Aam is 200 m from Lahori Gate. Diwan-i-Khas is 150 m further ahead from Diwan-i-Aam. (a) What is the total walking distance from Lahori Gate to Diwan-i-Khas? (b) On a tourist map with scale 1 cm = 50 m, what will be the distance on paper between Lahori Gate and Diwan-i-Khas?
[2 Marks]
✅ Step-by-Step Solution & Working
Tourist Map Calculations:
• (a) Total distance: 200 m + 150 m = 350 metres.
• (b) Distance on map: 350 m ÷ 50 m/cm = 7 cm.
• (a) Total distance: 200 m + 150 m = 350 metres.
• (b) Distance on map: 350 m ÷ 50 m/cm = 7 cm.
CBSE Step-by-Step Marking Scheme
Total distance: 350 m
1 M
Map distance: 7 cm
1 M
Q11
Textbook Exercise • Sea Coast Boundary
Which direction would a ship travel if it sails from Kolkata (West Bengal) across the Bay of Bengal to Port Blair (Andaman & Nicobar Islands)?
[2 Marks]
✅ Step-by-Step Solution & Working
Compass Sailing Direction:
Kolkata is located at the northern tip of the Bay of Bengal, while Port Blair is located towards the south-east in the Andaman Sea. Therefore, the ship sails in a South-East direction.
Kolkata is located at the northern tip of the Bay of Bengal, while Port Blair is located towards the south-east in the Andaman Sea. Therefore, the ship sails in a South-East direction.
CBSE Step-by-Step Marking Scheme
South-East direction identified
1 M
Bay of Bengal coordinates explained
1 M
Q12
Textbook Exercise • Map Grid Coordinates
On a tourist map divided into grid squares (letters A to D along columns, numbers 1 to 4 along rows): The museum is located in square B3 and the zoo is in square D3. (a) Do they lie along the same horizontal row or vertical column? (b) How many grid units apart are they horizontally?
[2 Marks]
✅ Step-by-Step Solution & Working
Grid Coordinate Analysis:
• (a) Alignment: Both share row number 3, so they lie along the same horizontal row.
• (b) Grid units apart: Column B to column D is: C, D = 2 grid units apart.
• (a) Alignment: Both share row number 3, so they lie along the same horizontal row.
• (b) Grid units apart: Column B to column D is: C, D = 2 grid units apart.
CBSE Step-by-Step Marking Scheme
Same horizontal row (row 3)
1 M
2 grid units apart
1 M
Q13
Textbook Exercise • Scaling Down a Drawing
A playground is 80 metres long and 40 metres wide. You want to draw it on a sheet of drawing paper that is 25 cm wide. Suggest a suitable scale so the playground fits neatly on the paper.
[2 Marks]
✅ Step-by-Step Solution & Working
Scale Selection:
• If we choose 1 cm = 4 metres:
- Length on paper = 80 ÷ 4 = 20 cm.
- Width on paper = 40 ÷ 4 = 10 cm.
• Since 20 cm fits easily within the 25 cm sheet, the scale 1 cm = 4 metres (or 1 cm = 5 metres) is perfectly suitable.
• If we choose 1 cm = 4 metres:
- Length on paper = 80 ÷ 4 = 20 cm.
- Width on paper = 40 ÷ 4 = 10 cm.
• Since 20 cm fits easily within the 25 cm sheet, the scale 1 cm = 4 metres (or 1 cm = 5 metres) is perfectly suitable.
CBSE Step-by-Step Marking Scheme
Proposed scale (e.g. 1 cm = 4 m or 5 m)
1 M
Paper dimension verification
1 M
Q14
Textbook Exercise • River Crossing on Map
Yamuna river flows through Delhi. If the river width on a 1 cm = 100 m map measures 3.5 cm, what is the actual width of the Yamuna river at that location?
[2 Marks]
✅ Step-by-Step Solution & Working
Width Calculation:
• Actual width = 3.5 cm × 100 m/cm = 350 metres.
• Actual width = 3.5 cm × 100 m/cm = 350 metres.
CBSE Step-by-Step Marking Scheme
Scale multiplication: 3.5 × 100
1 M
Answer: 350 metres
1 M
Q15
Textbook Exercise • Measuring Curved Roads with Thread
How can you measure the length of a curved winding mountain road drawn on a map using a piece of thread?
[3 Marks]
✅ Step-by-Step Solution & Working
Thread Measurement Method:
1. Place one end of a cotton thread precisely at the starting point of the curved road on the map.
2. Carefully lay the thread along all bends, curves, and turns of the road, holding it down with your fingers or pins.
3. Mark the thread with a pen at the ending point of the road.
4. Straighten the thread along a standard ruler to measure its length in centimetres.
5. Multiply the measured length by the map scale to calculate the real ground distance.
1. Place one end of a cotton thread precisely at the starting point of the curved road on the map.
2. Carefully lay the thread along all bends, curves, and turns of the road, holding it down with your fingers or pins.
3. Mark the thread with a pen at the ending point of the road.
4. Straighten the thread along a standard ruler to measure its length in centimetres.
5. Multiply the measured length by the map scale to calculate the real ground distance.
CBSE Step-by-Step Marking Scheme
Laying thread along curves explained
1.5 M
Measuring on ruler and scale multiplication
1.5 M
Q16
Textbook Exercise • North-East & South-West
State the intermediate compass direction that lies midway between: (a) North and East (b) South and East (c) South and West (d) North and West.
[2 Marks]
✅ Step-by-Step Solution & Working
Cardinal Intermediate Directions:
• (a) Between North and East: North-East (NE).
• (b) Between South and East: South-East (SE).
• (c) Between South and West: South-West (SW).
• (d) Between North and West: North-West (NW).
• (a) Between North and East: North-East (NE).
• (b) Between South and East: South-East (SE).
• (c) Between South and West: South-West (SW).
• (d) Between North and West: North-West (NW).
CBSE Step-by-Step Marking Scheme
All 4 directions correct (0.5 M each)
2 M
Q17
Textbook Exercise • Railway Route Distance
On a railway map, the rail distance from Mumbai to Ahmedabad is 8 cm. The map scale is 1 cm = 60 km. How long will an express train travelling at 80 km/h take to complete this journey?
[3 Marks]
✅ Step-by-Step Solution & Working
Journey Calculation:
1. Ground distance = 8 cm × 60 km/cm = 480 km.
2. Time taken = Distance ÷ Speed = 480 km ÷ 80 km/h = 6 hours.
1. Ground distance = 8 cm × 60 km/cm = 480 km.
2. Time taken = Distance ÷ Speed = 480 km ÷ 80 km/h = 6 hours.
CBSE Step-by-Step Marking Scheme
Ground distance: 480 km
1.5 M
Time: 6 hours
1.5 M
Q18
Textbook Exercise • Shortest Path between Two Places
On a road map, Route A is 12 km through city traffic with average speed 24 km/h. Route B is a bypass ring road of 18 km with average speed 54 km/h. Which route is faster to travel?
[3 Marks]
✅ Step-by-Step Solution & Working
Time Comparison:
• Route A: Time = 12 km ÷ 24 km/h = 0.5 hours = 30 minutes.
• Route B: Time = 18 km ÷ 54 km/h = 1/3 hour = 20 minutes.
• Conclusion: Route B (Bypass) is faster by 10 minutes, even though it is longer in distance.
• Route A: Time = 12 km ÷ 24 km/h = 0.5 hours = 30 minutes.
• Route B: Time = 18 km ÷ 54 km/h = 1/3 hour = 20 minutes.
• Conclusion: Route B (Bypass) is faster by 10 minutes, even though it is longer in distance.
CBSE Step-by-Step Marking Scheme
Route A time: 30 mins
1 M
Route B time: 20 mins
1 M
Conclusion: Route B faster
1 M
Q19
Textbook Exercise • City Map Orientation
If you stand facing the morning rising sun: (a) Which direction is in front of you? (b) Which direction is behind you? (c) Which direction is on your left hand? (d) Which direction is on your right hand?
[2 Marks]
✅ Step-by-Step Solution & Working
Sun Orientation:
• (a) In front: East (where sun rises).
• (b) Behind you: West.
• (c) Left hand: North.
• (d) Right hand: South.
• (a) In front: East (where sun rises).
• (b) Behind you: West.
• (c) Left hand: North.
• (d) Right hand: South.
CBSE Step-by-Step Marking Scheme
All 4 directions correct (0.5 M each)
2 M
Q20
Textbook Exercise • Area on Scaled Grid
A square park has an area of 4 sq cm on a map where 1 cm = 50 m. (a) What is the side length of the park on the map? (b) What is the actual side length in metres? (c) What is the actual ground area in square metres?
[3 Marks]
✅ Step-by-Step Solution & Working
Area Scaling:
• (a) Side on map: √4 = 2 cm.
• (b) Actual side length: 2 cm × 50 m/cm = 100 metres.
• (c) Actual ground area: 100 m × 100 m = 10,000 sq metres.
• (a) Side on map: √4 = 2 cm.
• (b) Actual side length: 2 cm × 50 m/cm = 100 metres.
• (c) Actual ground area: 100 m × 100 m = 10,000 sq metres.
CBSE Step-by-Step Marking Scheme
Side on map: 2 cm
1 M
Actual side: 100 m
1 M
Ground area: 10,000 sq m
1 M
Q21
Textbook Exercise • Straight Line vs Road Distance
Why is the actual driving distance between two cities on a highway almost always longer than the straight-line ruler distance measured on a map?
[2 Marks]
✅ Step-by-Step Solution & Working
Road Alignment Explanation:
A ruler measures the straight-line displacement ('as the crow flies'). In reality, highways must navigate natural terrain (mountains, rivers, valleys) and avoid settlements by having curves, turns, detours, and flyovers, making the driving road distance longer than the straight line.
A ruler measures the straight-line displacement ('as the crow flies'). In reality, highways must navigate natural terrain (mountains, rivers, valleys) and avoid settlements by having curves, turns, detours, and flyovers, making the driving road distance longer than the straight line.
CBSE Step-by-Step Marking Scheme
Straight line vs terrain bends explained
2 M
Q22
Textbook Exercise • Map Symbol Legend
Why do maps have a 'Legend' or 'Key'? Mention three conventional symbols commonly found on maps.
[3 Marks]
✅ Step-by-Step Solution & Working
Map Legends & Symbols:
• Purpose: A legend explains the meanings of different colours, lines, and symbols used on the map so readers can interpret features accurately.
• Three Symbols:
1. Blue colour: Water bodies (rivers, lakes, seas).
2. Black dashed lines with crossbars: Railway tracks.
3. Green areas: Forests, parks, or agricultural land.
• Purpose: A legend explains the meanings of different colours, lines, and symbols used on the map so readers can interpret features accurately.
• Three Symbols:
1. Blue colour: Water bodies (rivers, lakes, seas).
2. Black dashed lines with crossbars: Railway tracks.
3. Green areas: Forests, parks, or agricultural land.
CBSE Step-by-Step Marking Scheme
Purpose of legend explained
1.5 M
Three symbols described
1.5 M
Q23
Textbook Exercise • Scale Factor Calculation
A distance of 5 kilometres on the ground is represented by 2 centimetres on a map. Write down the map scale in: (a) Centimetres to kilometres format (b) How many metres does 1 cm represent?
[2 Marks]
✅ Step-by-Step Solution & Working
Scale Formats:
• (a) Format: 2 cm = 5 km, so 1 cm = 2.5 km.
• (b) In metres: 2.5 km = 2.5 × 1,000 m = 2,500 metres per 1 cm.
• (a) Format: 2 cm = 5 km, so 1 cm = 2.5 km.
• (b) In metres: 2.5 km = 2.5 × 1,000 m = 2,500 metres per 1 cm.
CBSE Step-by-Step Marking Scheme
1 cm = 2.5 km
1 M
1 cm = 2,500 m
1 M
Q24
Textbook Exercise • Route Planning
A delivery van must deliver packages to Point A (4 km North), then Point B (3 km East from A), and then return directly to the depot in a straight line. If the straight return path is 5 km, what total distance did the van drive?
[2 Marks]
✅ Step-by-Step Solution & Working
Total Distance Calculation:
• Leg 1: 4 km North.
• Leg 2: 3 km East.
• Leg 3 (return): 5 km.
• Total driving distance: 4 + 3 + 5 = 12 km.
• Leg 1: 4 km North.
• Leg 2: 3 km East.
• Leg 3 (return): 5 km.
• Total driving distance: 4 + 3 + 5 = 12 km.
CBSE Step-by-Step Marking Scheme
Legs listed: 4, 3, 5 km
1 M
Total: 12 km
1 M
🌟 NEP 2020 Competency-Based Case Study
NEP 2020 Competency Case: Mapping Your Way
A practical scenario involving Mapping Your Way in everyday life and community contexts.
Analytical Task: Analyze the quantitative relationships and state the conclusion.
Evaluation & Model Answer:
Apply the step-by-step formulas and concepts mastered in this chapter.
Rubric: 1M formula + 1M working + 1M answer